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CGAL 4.12 - 2D and 3D Linear Geometry Kernel
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CGAL 4.12 - 2D and 3D Linear Geometry Kernel
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| ►NCGAL | |
| CAff_transformation_2 | The class Aff_transformation_2 represents two-dimensional affine transformations |
| CAff_transformation_3 | The class Aff_transformation_3 represents three-dimensional affine transformations |
| CAmbient_dimension | The class Ambient_dimension allows to retrieve the dimension of the ambient space of a type T in a kernel K |
| CBbox_2 | An object b of the class Bbox_2 is a bounding box in the two-dimensional Euclidean plane \( \E^2\) |
| CBbox_3 | An object b of the class Bbox_3 is a bounding box in the three-dimensional Euclidean space \( \E^3\) |
| CCartesian | A model for Kernel that uses Cartesian coordinates to represent the geometric objects |
| CCartesian_converter | Cartesian_converter converts objects from the kernel traits K1 to the kernel traits K2 using NTConverter to do the conversion |
| CCircle_2 | An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane \( \E^2\) |
| CCircle_3 | An object c of type Circle_3 is a circle in the three-dimensional Euclidean space \( \E^3\) |
| CDimension_tag | An object of the class Dimension_tag is an empty object which can be used for dispatching functions based on the dimension of an object, as provided by the dim parameter |
| CDirection_2 | An object d of the class Direction_2 is a vector in the two-dimensional vector space \( \mathbb{R}^2\) where we forget about its length |
| CDirection_3 | An object of the class Direction_3 is a vector in the three-dimensional vector space \( \mathbb{R}^3\) where we forget about their length |
| CDynamic_dimension_tag | An object of the class Dynamic_dimension_tag is an empty object which can be used for dispatching functions based on the dimension of an object |
| CExact_predicates_exact_constructions_kernel | A typedef to a kernel which has the following properties: |
| CExact_predicates_exact_constructions_kernel_with_kth_root | A typedef to a kernel which has the following properties: |
| CExact_predicates_exact_constructions_kernel_with_root_of | A typedef to a kernel which has the following properties: |
| CExact_predicates_exact_constructions_kernel_with_sqrt | A typedef to a kernel which has the following properties: |
| CExact_predicates_inexact_constructions_kernel | A typedef to a kernel which has the following properties: |
| CFeature_dimension | The class Feature_dimension allows to retrieve the geometric dimension of a type T in a kernel K |
| CFiltered_kernel | Filtered_kernel is a kernel that uses a filtering technique based on interval arithmetic form to achieve exact and efficient predicates |
| CFiltered_kernel_adaptor | Filtered_kernel_adaptor is a kernel that uses a filtering technique to obtain a kernel with exact and efficient predicate functors |
| CFiltered_predicate | Filtered_predicate is an adaptor for predicate function objects that allows one to produce efficient and exact predicates |
| CHomogeneous | A model for a Kernel using homogeneous coordinates to represent the geometric objects |
| CHomogeneous_converter | Homogeneous_converter converts objects from the kernel traits K1 to the kernel traits K2 |
| CIdentity_transformation | Tag class for affine transformations |
| CIso_cuboid_3 | An object c of the data type Iso_cuboid_3 is a cuboid in the Euclidean space \( \E^3\) with edges parallel to the \( x\), \( y\) and \( z\) axis of the coordinate system |
| CIso_rectangle_2 | An object r of the data type Iso_rectangle_2 is a rectangle in the Euclidean plane \( \E^2\) with sides parallel to the \( x\) and \( y\) axis of the coordinate system |
| CKernel_traits | The class Kernel_traits provides access to the kernel model to which the argument type T belongs |
| CLine_2 | An object l of the data type Line_2 is a directed straight line in the two-dimensional Euclidean plane \( \E^2\) |
| CLine_3 | An object l of the data type Line_3 is a directed straight line in the three-dimensional Euclidean space \( \E^3\) |
| CNull_vector | CGAL defines a symbolic constant NULL_VECTOR to construct zero length vectors |
| COrigin | CGAL defines a symbolic constant ORIGIN which denotes the point at the origin |
| CPlane_3 | An object h of the data type Plane_3 is an oriented plane in the three-dimensional Euclidean space \( \E^3\) |
| CPoint_2 | An object p of the class Point_2 is a point in the two-dimensional Euclidean plane \( \E^2\) |
| CPoint_3 | An object of the class Point_3 is a point in the three-dimensional Euclidean space \( \E^3\) |
| CProjection_traits_xy_3 | The class Projection_traits_xy_3 is an adapter to apply 2D algorithms to the projections of 3D data on the xy-plane |
| CProjection_traits_xz_3 | The class Projection_traits_xz_3 is an adapter to apply 2D algorithms to the projections of 3D data on the xz-plane |
| CProjection_traits_yz_3 | The class Projection_traits_yz_3 is an adapter to apply 2D algorithms to the projections of 3D data on the yz-plane |
| CRay_2 | An object r of the data type Ray_2 is a directed straight ray in the two-dimensional Euclidean plane \( \E^2\) |
| CRay_3 | An object r of the data type Ray_3 is a directed straight ray in the three-dimensional Euclidean space \( \E^3\) |
| CReflection | Tag class for affine transformations |
| CRotation | Tag class for affine transformations |
| CScaling | Tag class for affine transformations |
| CSegment_2 | An object s of the data type Segment_2 is a directed straight line segment in the two-dimensional Euclidean plane \( \E^2\), i.e. a straight line segment \( [p,q]\) connecting two points \( p,q \in \mathbb{R}^2\) |
| CSegment_3 | An object s of the data type Segment_3 is a directed straight line segment in the three-dimensional Euclidean space \( \E^3\), that is a straight line segment \( [p,q]\) connecting two points \( p,q \in \R^3\) |
| CSimple_cartesian | A model for a Kernel using Cartesian coordinates to represent the geometric objects |
| CSimple_homogeneous | A model for a Kernel using homogeneous coordinates to represent the geometric objects |
| CSphere_3 | An object of type Sphere_3 is a sphere in the three-dimensional Euclidean space \( \E^3\) |
| CTetrahedron_3 | An object t of the class Tetrahedron_3 is an oriented tetrahedron in the three-dimensional Euclidean space \( \E^3\) |
| CTranslation | Tag class for affine transformations |
| CTriangle_2 | An object t of the class Triangle_2 is a triangle in the two-dimensional Euclidean plane \( \E^2\) |
| CTriangle_3 | An object t of the class Triangle_3 is a triangle in the three-dimensional Euclidean space \( \E^3\) |
| CVector_2 | An object v of the class Vector_2 is a vector in the two-dimensional vector space \( \mathbb{R}^2\) |
| CVector_3 | An object of the class Vector_3 is a vector in the three-dimensional vector space \( \mathbb{R}^3\) |
| CWeighted_point_2 | An object of the class Weighted_point_2 is a tuple of a two-dimensional point and a scalar weight |
| CWeighted_point_3 | An object of the class Weighted_point_3 is a tuple of a three-dimensional point and a scalar weight |
| ►NKernel | |
| CAngle_2 | |
| CAngle_3 | |
| CAreOrderedAlongLine_2 | |
| CAreOrderedAlongLine_3 | |
| CAreParallel_2 | |
| CAreParallel_3 | |
| CAreStrictlyOrderedAlongLine_2 | |
| CAreStrictlyOrderedAlongLine_3 | |
| CAssign_2 | |
| CAssign_3 | |
| CBoundedSide_2 | |
| CBoundedSide_3 | |
| CCartesianConstIterator_2 | A type representing an iterator to the Cartesian coordinates of a point in two dimensions |
| CCartesianConstIterator_3 | A type representing an iterator to the Cartesian coordinates of a point in three dimensions |
| CCircle_2 | A type representing circles in two dimensions |
| CCircle_3 | A type representing circles in three dimensions |
| CCollinear_2 | |
| CCollinear_3 | |
| CCollinearAreOrderedAlongLine_2 | |
| CCollinearAreOrderedAlongLine_3 | |
| CCollinearAreStrictlyOrderedAlongLine_2 | |
| CCollinearAreStrictlyOrderedAlongLine_3 | |
| CCollinearHasOn_2 | |
| CCompareAngleWithXAxis_2 | |
| CCompareDihedralAngle_3 | |
| CCompareDistance_2 | |
| CCompareDistance_3 | |
| CComparePowerDistance_2 | |
| CComparePowerDistance_3 | |
| CCompareSlope_2 | |
| CCompareSlope_3 | |
| CCompareSquaredDistance_2 | |
| CCompareSquaredDistance_3 | |
| CCompareSquaredRadius_3 | |
| CCompareWeightedSquaredRadius_3 | |
| CCompareX_2 | |
| CCompareX_3 | |
| CCompareXAtY_2 | |
| CCompareXY_2 | |
| CCompareXY_3 | |
| CCompareXYZ_3 | |
| CCompareY_2 | |
| CCompareY_3 | |
| CCompareYAtX_2 | |
| CCompareYX_2 | |
| CCompareZ_3 | |
| CComputeA_2 | |
| CComputeA_3 | |
| CComputeApproximateArea_3 | |
| CComputeApproximateDihedralAngle_3 | |
| CComputeApproximateSquaredLength_3 | |
| CComputeArea_2 | |
| CComputeArea_3 | |
| CComputeAreaDividedByPi_3 | |
| CComputeB_2 | |
| CComputeB_3 | |
| CComputeC_2 | |
| CComputeC_3 | |
| CComputeD_3 | |
| CComputeDeterminant_2 | |
| CComputeDeterminant_3 | |
| CComputeDx_2 | |
| CComputeDx_3 | |
| CComputeDy_2 | |
| CComputeDy_3 | |
| CComputeDz_3 | |
| CComputeHw_2 | |
| CComputeHw_3 | |
| CComputeHx_2 | |
| CComputeHx_3 | |
| CComputeHy_2 | |
| CComputeHy_3 | |
| CComputeHz_3 | |
| CComputeLInfinityDistance_2 | |
| CComputeLInfinityDistance_3 | |
| CComputePowerDistanceToPowerSphere_3 | |
| CComputePowerProduct_2 | |
| CComputePowerProduct_3 | |
| CComputeScalarProduct_2 | |
| CComputeScalarProduct_3 | |
| CComputeSquaredArea_3 | |
| CComputeSquaredDistance_2 | |
| CComputeSquaredDistance_3 | |
| CComputeSquaredLength_2 | |
| CComputeSquaredLength_3 | |
| CComputeSquaredLengthDividedByPiSquare_3 | |
| CComputeSquaredRadius_2 | |
| CComputeSquaredRadius_3 | |
| CComputeSquaredRadiusSmallestOrthogonalCircle_2 | |
| CComputeSquaredRadiusSmallestOrthogonalSphere_3 | |
| CComputeVolume_3 | |
| CComputeWeight_2 | |
| CComputeWeight_3 | |
| CComputeX_2 | |
| CComputeX_3 | |
| CComputeXmax_2 | |
| CComputeXmax_3 | |
| CComputeXmin_2 | |
| CComputeXmin_3 | |
| CComputeY_2 | |
| CComputeY_3 | |
| CComputeYAtX_2 | |
| CComputeYmax_2 | |
| CComputeYmax_3 | |
| CComputeYmin_2 | |
| CComputeYmin_3 | |
| CComputeZ_3 | |
| CComputeZmax_3 | |
| CComputeZmin_3 | |
| CConstructBarycenter_2 | |
| CConstructBarycenter_3 | |
| CConstructBaseVector_3 | |
| CConstructBbox_2 | |
| CConstructBbox_3 | |
| CConstructBisector_2 | |
| CConstructBisector_3 | |
| CConstructCartesianConstIterator_2 | |
| CConstructCartesianConstIterator_3 | |
| CConstructCenter_2 | |
| CConstructCenter_3 | |
| CConstructCentroid_2 | |
| CConstructCentroid_3 | |
| CConstructCircle_2 | |
| CConstructCircle_3 | |
| CConstructCircumcenter_2 | |
| CConstructCircumcenter_3 | |
| CConstructCrossProductVector_3 | |
| CConstructDifferenceOfVectors_2 | |
| CConstructDifferenceOfVectors_3 | |
| CConstructDirection_2 | |
| CConstructDirection_3 | |
| CConstructDividedVector_2 | |
| CConstructDividedVector_3 | |
| CConstructEquidistantLine_3 | |
| CConstructIsoCuboid_3 | |
| CConstructIsoRectangle_2 | |
| CConstructLiftedPoint_3 | |
| CConstructLine_2 | |
| CConstructLine_3 | |
| CConstructMaxVertex_2 | |
| CConstructMaxVertex_3 | |
| CConstructMidpoint_2 | |
| CConstructMidpoint_3 | |
| CConstructMinVertex_2 | |
| CConstructMinVertex_3 | |
| CConstructNormal_3 | |
| CConstructObject_2 | |
| CConstructObject_3 | |
| CConstructOppositeCircle_2 | |
| CConstructOppositeDirection_2 | |
| CConstructOppositeDirection_3 | |
| CConstructOppositeLine_2 | |
| CConstructOppositeLine_3 | |
| CConstructOppositePlane_3 | |
| CConstructOppositeRay_2 | |
| CConstructOppositeRay_3 | |
| CConstructOppositeSegment_2 | |
| CConstructOppositeSegment_3 | |
| CConstructOppositeSphere_3 | |
| CConstructOppositeTriangle_2 | |
| CConstructOppositeVector_2 | |
| CConstructOppositeVector_3 | |
| CConstructOrthogonalVector_3 | |
| CConstructPerpendicularDirection_2 | |
| CConstructPerpendicularLine_2 | |
| CConstructPerpendicularLine_3 | |
| CConstructPerpendicularPlane_3 | |
| CConstructPerpendicularVector_2 | |
| CConstructPlane_3 | |
| CConstructPoint_2 | |
| CConstructPoint_3 | |
| CConstructPointOn_2 | |
| CConstructPointOn_3 | |
| CConstructProjectedPoint_2 | |
| CConstructProjectedPoint_3 | |
| CConstructProjectedXYPoint_2 | |
| CConstructRadicalAxis_2 | |
| CConstructRadicalLine_2 | |
| CConstructRadicalPlane_3 | |
| CConstructRay_2 | |
| CConstructRay_3 | |
| CConstructScaledVector_2 | |
| CConstructScaledVector_3 | |
| CConstructSecondPoint_2 | |
| CConstructSecondPoint_3 | |
| CConstructSegment_2 | |
| CConstructSegment_3 | |
| CConstructSource_2 | |
| CConstructSource_3 | |
| CConstructSphere_3 | |
| CConstructSumOfVectors_2 | |
| CConstructSumOfVectors_3 | |
| CConstructSupportingPlane_3 | |
| CConstructTarget_2 | |
| CConstructTarget_3 | |
| CConstructTetrahedron_3 | |
| CConstructTranslatedPoint_2 | |
| CConstructTranslatedPoint_3 | |
| CConstructTriangle_2 | |
| CConstructTriangle_3 | |
| CConstructUnitNormal_3 | |
| CConstructVector_2 | |
| CConstructVector_3 | |
| CConstructVertex_2 | |
| CConstructVertex_3 | |
| CConstructWeightedCircumcenter_2 | |
| CConstructWeightedCircumcenter_3 | |
| CConstructWeightedPoint_2 | |
| CConstructWeightedPoint_3 | |
| CCoplanar_3 | |
| CCoplanarOrientation_3 | |
| CCoplanarSideOfBoundedCircle_3 | |
| CCounterclockwiseInBetween_2 | |
| CDirection_2 | A type representing directions in two dimensions |
| CDirection_3 | A type representing directions in three dimensions |
| CDoIntersect_2 | |
| CDoIntersect_3 | |
| CEqual_2 | |
| CEqual_3 | |
| CEqualX_2 | |
| CEqualX_3 | |
| CEqualXY_3 | |
| CEqualY_2 | |
| CEqualY_3 | |
| CEqualZ_3 | |
| CHasOn_2 | |
| CHasOn_3 | |
| CHasOnBoundary_2 | |
| CHasOnBoundary_3 | |
| CHasOnBoundedSide_2 | |
| CHasOnBoundedSide_3 | |
| CHasOnNegativeSide_2 | |
| CHasOnNegativeSide_3 | |
| CHasOnPositiveSide_2 | |
| CHasOnPositiveSide_3 | |
| CHasOnUnboundedSide_2 | |
| CHasOnUnboundedSide_3 | |
| CIntersect_2 | |
| CIntersect_3 | |
| CIsDegenerate_2 | |
| CIsDegenerate_3 | |
| CIsHorizontal_2 | |
| CIsoCuboid_3 | A type representing isocuboids in three dimensions |
| CIsoRectangle_2 | A type representing iso-rectangles in two dimensions |
| CIsVertical_2 | |
| CLeftTurn_2 | |
| CLessDistanceToPoint_2 | |
| CLessDistanceToPoint_3 | |
| CLessRotateCCW_2 | |
| CLessSignedDistanceToLine_2 | |
| CLessSignedDistanceToPlane_3 | |
| CLessX_2 | |
| CLessX_3 | |
| CLessXY_2 | |
| CLessXY_3 | |
| CLessXYZ_3 | |
| CLessY_2 | |
| CLessY_3 | |
| CLessYX_2 | |
| CLessZ_3 | |
| CLine_2 | A type representing straight lines (and halfspaces) in two dimensions |
| CLine_3 | A type representing straight lines in three dimensions |
| CObject_2 | A type representing different types of objects in two dimensions |
| CObject_3 | A type representing different types of objects in three dimensions |
| COrientation_2 | |
| COrientation_3 | |
| COrientedSide_2 | |
| COrientedSide_3 | |
| CPlane_3 | A type representing planes (and half-spaces) in three dimensions |
| CPoint_2 | A type representing points in two dimensions |
| CPoint_3 | A type representing points in three dimensions |
| CPowerSideOfBoundedPowerCircle_2 | |
| CPowerSideOfBoundedPowerSphere_3 | |
| CPowerSideOfOrientedPowerCircle_2 | |
| CPowerSideOfOrientedPowerSphere_3 | |
| CRay_2 | A type representing rays in two dimensions |
| CRay_3 | A type representing rays in three dimensions |
| CSegment_2 | A type representing segments in two dimensions |
| CSegment_3 | A type representing segments in three dimensions |
| CSideOfBoundedCircle_2 | |
| CSideOfBoundedSphere_3 | |
| CSideOfOrientedCircle_2 | |
| CSideOfOrientedSphere_3 | |
| CSphere_3 | A type representing spheres in three dimensions |
| CTetrahedron_3 | A type representing tetrahedra in three dimensions |
| CTriangle_2 | A type representing triangles in two dimensions |
| CTriangle_3 | A type representing triangles in three dimensions |
| CVector_2 | A type representing vectors in two dimensions |
| CVector_3 | A type representing vectors in three dimensions |
| CWeightedPoint_2 | A type representing weighted points in two dimensions |
| CWeightedPoint_3 | A type representing weighted points in three dimensions |
| CKernel | The concept of a kernel is defined by a set of requirements on the provision of certain types and access member functions to create objects of these types. The types are function object classes to be used within the algorithms and data structures of CGAL. This allows you to use any model of a kernel as a traits class in the CGAL algorithms and data structures, unless they require types beyond those provided by a kernel |
1.8.13